Abstract
AbstractAn example of two distinguished Fréchet spaces E, F is given (even more, E is quasinormable and F is normable) such that their completed injective tensor product E⊗F is not distinguished. On the other hand, it is proved that for arbitrary reflexive Fréchet space E and arbitrary compact set K the space of E ‐ valued continuous functions C(K, E) is distinguished and its strong dual is naturally isomorphic to ⊗ where L1(μ) = C(K)1.
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